A hospital parking lot charges $ 2.50 for the first hour or part thereof, and $1.25 for
each additional hour part thereof. A weekly pass costs $50.00 and allows unlimited parking for 7 days. If each visit Johnny makes to the hospital lasts two and half hours, what is the minimum number of visits that would make it worthwhile to

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The area of a regular polygon with n sides which is inscribed in a circle of a radius 1 is:
(see attachment for equation)
Find the limit as by substituting and writing the limit in terms of u, then evaluating that limit. Do you get the expected answer?
Thank you!
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(Complete problem found in attache

Can you help solving the problem and show how to graph?
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Consider a parabola . How to find a, b, and c that satisfies the following: (see attachment). Graph the parabola.
Thank you for your help!
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(Complete problem found in attached file)

I am looking for a detailed solution. I need set up, solving, and final result. Therefore, I need solution of the second order DFQ. Finally for the description of the movement as time goes to infinity, I need what type of motion is that.
a. An 8lb weight is attached to a spring suspended from the ceiling. When the weight come

I need to know how to find a particular solutions to an initial conditions. i know how to find the explicit solution of a differential equation but cannot remember how to find particular solutions. please show your working to help me understand. thanks
Problems (also attached):
Given the attached information:
1) So how

A) Solve the Initial value Problem:
y"+y=d&#960;(t)+d2&#960;(t)+d3&#960;(t)+......dn&#960;(t)
******d&#960;.- meaning delta sub index phi********
b) Graph the solution on the interval [0,3&#960;]
c) Discuss the behaviour of the solution in relation to the equation.
I am looking for a solution for this problem. I need the

&#8747; (x^5)/[(1+x^3)^(3/2)] dx
&#8747; {square root of [(x+3)/(x+1)]}dx
&#8747; (cot^3 v)[(csc v)^(3/2)] dx
(I will use the $ sign for the integral sign)
Problem #1:
$ (x^5)/[(1+x^3)^(3/2)] dx
the power 3/2 in the denominator is throwing me off greatly, as is
the greater power (x^5) in the numerator.
attempt 1

A seismograph is a scientific instrument that is used to detect earthquakes. A simple model of a seismograph is shown below. It consists of a particle of mass m to which a pointer is attached. The particle is suspended by a spring of natural length lo and stiffness k and a damper of damping constant r from a platform of height d

I am in Freshmen Level Calculus. We are in section 4.5 of the Salas, Hille, and Etgen book, "Calculus: One and Several Variables" 9th edition.
The name of the chapter is The Mean value theorem and its applications, But from my understanding of the examples, It does not use the MVT. The previous sections were about local ex

I am in Freshmen Level Calculus. We are in section 4.5 of the Salas, Hille, and Etgen book, "Calculus: One and Several Variables" 9th edition.
The name of the chapter is The Mean value theorem and its applications, But from my understanding of the examples, It does not use the MVT. The previous sections were about local extre

I am currently having trouble with some of this stuff, and my job requires that i learn this all again so i was wondering if i could get some help
t(t-3)y''+2ty'-y=t^2
y(1)=yo, y'(1)=y1
y1 and yo are real constants
find the interval of the unique solution
Also find the interval if the above initial condition changes to y(

Converting units using dimensional analysis is one aspect of chemistry that tends to give students trouble in the beginning stages of their education. It is the goal of this book to provide a simple pathway to mastering this extremely useful techniq... READ MORE » ... READ MORE »